V3r-1 7. lim X- sin? x-cos(2x)

Q: (2-4)* Q1: limx-1 sin(x³–1) x-1

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Q: 2t Q3. Find the value of: lim,-0 tant (x² -1 Q4 Let f(x) ={ 2kx x< 2 x 2 2 Find the value of (k)…

A: 3. to findlimt→02ttant4. to find value of k for the function to be continuousf(x)=x2-1x&lt;22kxx≥2

Q: 2x sin x is x-0 1-cos x lim A. 5 В. — 5 C. 4 D. - 4

A: NOTE: Refresh your page if you can't see any equations. .

Q: number f on paper

A: Given:

Q: x łan 5x sin? (2x) lim

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Q: x' - 4x? – 9x+36 lim b) x - x-12 x-3 e* -e* – 2x lim c) x- sin x

A: limx→-3x3-4x2-9x+36x2-x-12=limx→-3x2x-4-9x-4x2-4x+3x-12=limx→-3x2-9x-4xx-4+3x-4=limx→-3x2-32x-4x-4x+…

Q: 4 2 dx 5₂ is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x√√x²-4 c→ 2+ Add…

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Q: sin?x-1 10. lim sinx-1 2

A: Let f,g be functions which are continuous and differentiable. If while computing the limit…

Q: Rx+2sinx Q2.a) lim sin (). sec (in 3+x

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1- cos 5x lim x? 2 x→0 а. -2.5 b. -12.5 С. 12.5 d. 2.5

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Q: • If y = cos x2 + x² then y(4) = 8x? sin x² + 0 TO FO x-5 • lim х-5 х2-25 = 10 FO

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Q: Q 3/ x-sin x A- Find lim,0 1-cos x.

A: Explanation and solutions is given below....

Q: x--2xy lim (x,y) - (2,1) x²-4y² .A 3 .B 1 4 .C .D 1 2 ONIM

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Q: cos x2 - 1 2. Find lim→0 2x 81,341 123

A: Answer and explanation is given below

Q: の lim 3x? メ→ 1-cos (x) b) lim 6) Xうo

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Q: What is lim tan(x)? Why? AY 10 8 6. 4 2 -0.S 0.ST, 0.5n, 1.5a, 27 2.5m -4 -10

A: Given limit is limx→π2+tan(x) As shown in the graph of tan(x), as x approaches π2 from right side ,…

Q: lim Va? +1 – Vx² + 2 lim x sin(x) x00

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Q: Q1: limx-→n tan(x) is X-T 1

A: Given, limx→ πtanxx-π

Q: x3+8 Q1: Find lim X-2 x+2 Q2: Find for y= (*)G + 4) Q3: Find for y= sin2x cosx +x lin(x) dy dx

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Q: Find the limit

A: Here the given limit

Q: 4. lim x5 x- Note* the sign is negative -1/2 5. lim va N. -- I. 2v2 6. lim 3x Vx Н. 243 3 x-27

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Q: Find the limit analytically

A: Given, limit function is

Q: tan( xy) lim (х.у) >(0.1) х"у+x = ? 1 (b) 2 1 (c) 3 (a) 0 (e) 1

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Q: x² – 9 16. lim x - - 3- x +3 (4 + h)² – 16 18. lim h→0 sin²x 20. lim htan³x 4

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Q: 3x2 -х+1 - lim x→+0 V9x5-x3+3-x2 (x-2)tan?(3x-21) - lim x→7+ sin?(x2 -9x+14)

A: Limits

Q: sin(2Tx) lim x → 6 x² – 36 -0.3333 T O 0.1667 ↑ O -0.1667 T O 0.3333 T

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Q: Q2) A) 1-VI+1 sinax 3) lim I+1 1) lim 2) lim

A: Given that:                       (1)limx→∞x+1x2+3 (2)limx→01-x+1x(3)limx→0sin3xx   NOTE: As per our…

Q: 6.The lim x +3 is equal to 1S 3x-4x+n sin t. 7.The [1 is equal to

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: cos(x) lim 2

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Q: 4x(1 — сos(x)) lim х — sin(x) х>0

A: Because the limit is in 0/0 form. Apply L'hopital's rule.

Q: Rewrite the following as one-sided limits and evaluate.

A: (a) limx→∞3-12x34x3+3x+1=limx→∞3x3-124+3x2+1x3=0-124+0+0=-124=-3 Hence the answer.

Q: 8 sin (1r) 3. Find lim 5.r

A: In the question we have to find lim x→08sin(4x)5x

Q: Find the limits

A: We have to find the limit: limx→2sinx2-4x-2 We know, limx→0sinxx=1 since, limx→0sin00=1 So making…

Q: 3 lim z? sin(-

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Q: tan(xy) = ? lim .2. (х.у) >(0,1) х*у+x 1 1 (b) 1 (e) (d) - (а) 0 (e) 1 4 - |3

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Q: Q2: Evaluate: [1] 21 lim m COSXVI+ COSX – v1-x, sin-1(x) V1+x - [3] lim-o

A: Limit of a function determines the continuity of a function. Three types of limits exist, one is…

Q: Q5:The value of: * sin (5x) lim I-0

A: We have to find the value

Q: Vx? +12 - 4 x²-5x +6 2x-5x +6 a- Lim cos x b- Lim c- Lim d- Lim x - 2 x'-8 3x -8 --

A: If in limit denominator and numerator forms 0 by 0 use L hospital rule

Q: sin (x? - 4) 1- V 1- lim 2- lim x1 1-x x2 x - 2

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Q: 3x2 lim x→0 cos(2x) – 1

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Q: 2.r + x sin 3.x 1. lim * 5x - 2x +1

A: Here we find limit

Q: 2. lim 七や~1 Sx?+3-2, zー1

A: To Find the Limits of function 2.) limx→-1 x2+3 -2x2 - 1

Q: e* – 1 lim x-0 tan 2x

A: Given: limx→0ex-1tan2x

Q: 3 lim tan³ 2x x→0

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Q: x² – 9 2. lim x →- 3- x+3 (4 + h)² – 16 4. lim h-0 h sin2x 6. lim t tan³x

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Q: х(4+sin 6x) 3. lim X→+0 х+1

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Q: /10-х - 2 8. lim x-2 х+2 А. 1/12 В. -1/12 С. -12 D. DNE

A: The given function is 10-x3-2x+2. We have to find the limit of the given function at x=2.

Q: x2/3 +x-1 lim x-00 x2/3 + cos? x

A: It is limit problem in which we can find the answer by applying given limit in the function.

Q: 10 sin(4x³) 12x8 lim X→0

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2x e* –1 lim- x→0 sin (2x)

A: Since you have asked multiple questions in a single request, we would be answering only the first…